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Periodic solution of a class of two order differential equations

ZHU Wen-zhuang1, WAN Jun2, ZHANG Jin1   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China; 2. Shenyang Bussiness School, Shenyang 110000, China
  • Received:2003-07-03 Revised:1900-01-01 Online:2004-01-26 Published:2004-01-26
  • Contact: ZHU Wen-zhuang

Abstract: We studied a class of two order differential equation s by means of the functional method. We constructed a Hilbert space H in wh ich the element is continuous function and a operator T: H→H. Then we c an turn the existence of periodic solution of this class of equations into the s olvability of a operator equation.

Key words: two order differential equation, periodic solution, operator equation, differential homeomorphism

CLC Number: 

  • O175.1